Spieltheorie ii
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Spieltheorie II. SS 2005 Avner Shaked. Game Theory II. SS 2005 Avner Shaked. http://www.wiwi.uni-bonn.de/shaked/ST-II/. Game Theory II. K. Binmore Fun & Games A Text on Game Theory D.C. Heath & Co., 1992. Game Theory II.

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Spieltheorie II

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Spieltheorie II

SS 2005

Avner Shaked


Game Theory II

SS 2005

Avner Shaked


http://www.wiwi.uni-bonn.de/shaked/ST-II/


Game Theory II

  • K. BinmoreFun & GamesA Text on Game Theory D.C. Heath & Co., 1992


Game Theory II

  • M. Osborne & A. RubinsteinBargaining and MarketsAcademic Press, 1990


Game Theory II

  • K. BinmoreFun & GamesA Text on Game Theory D.C. Heath & Co., 1992

  • M. Osborne & A. RubinsteinBargaining and MarketsAcademic Press, 1990


John Nash

Nash Bargaining TheoryNash Verhandlungstheorie

  • A Bargaining Problem

  • S - a feasible set

  • d - a disagreement point


u2

u1

Nash Bargaining Theory

S


u2

u1

Nash Bargaining Theory

bounded

S

closed


u2

B

u1

A

Nash Bargaining Theory

S


u2

u1

Nash Bargaining Theory

S

d


u2

u1

Nash Bargaining Theory

S

d


u2

u1

Nash Bargaining Theory

A Nash Bargaining Solution

is a function

S

d


u2

u1

Nash Bargaining Theory

A Nash Bargaining Solution

is a function

S

d


d

S

Axioms A1-A4

A1 (Pareto)

A2 (Symmetry)


Axioms A1-A4

A3 (Invariance to affine transformation)

A4 (Independence of Irrelevant Alternatives IIA)


u2

A4 (Independence of Irrelevant Alternatives IIA)

u1

d

Axioms A1-A4


A4 (Independence of Irrelevant Alternatives IIA)

Axioms A1-A4

Givesf(T,d) a flavour of maximum

IIA is violated when

Pasta

Fish

Meat


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